### Wednesday, July 15

## MS36

Computation of High Reynolds Number Flow Problems

10:30 AM-1:00 PM

*Room: Sidney Smith 1073*

The theme of this minisymposium can be described as mathematics as a guide for practical computations. Indeed, at sufficiently high Reynolds numbers, it is nearly impossible, within available resources, to perform simulations that have fully rigorous mathematical support at each step. It is also impossible to compute reliably without mathematical guidance based solely upon experience or physical intuition. The speakers will discuss computational fluid dynamics, mathematical understanding of the limitations of current approaches, and extension of the range of Reynolds numbers for which algorithms are viable.

**Organizer: William J. Layton**

*University of Pittsburgh*
**10:30 Parallel Multigrid Methods for Incompressible Navier-Stokes Equations**
- Volker John, Otto-von-Guericke-Universität Magdeburg, Germany
**11:00 A Flow Aligning Algorithm for Convection Dominated CFD Problems**
- Traian Iliescu, University of Pittsburgh
**11:30 Discretization of the Navier-Stokes Equations with Slip Boundary Condition**
- Anastasios Liakos, University of Pittsburgh
**12:00 Adaptive Computations for High Reynolds Number Flow Problems**
- William Layton, Organizer
**12:30 Fourth Order Essentially Compact Finite Difference Method for Unsteady Viscous Incompressible Flow in Vorticity Formulation**
*Hans Johnston*, Temple University; and Jian-Guo Liu, University of Maryland, College Park

LMH Created: 3/18/98, MMD Updated: 6/22/98